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On algebras which are locally A1 in codimension-one
http://hdl.handle.net/10098/8620
http://hdl.handle.net/10098/8620b977a585-e3a2-4e38-9940-937841b0164c
名前 / ファイル | ライセンス | アクション |
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bd00007208.pdf (292.4 kB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2014-12-08 | |||||
タイトル | ||||||
タイトル | On algebras which are locally A1 in codimension-one | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Codimension-one | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | faithfully flat | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | finite generation | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | retraction | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | complete local | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Krull domain | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | divisorial ideal | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | symbolic power | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_1843 | |||||
資源タイプ | other | |||||
著者 |
BHATWADEKAR, S. M.
× BHATWADEKAR, S. M.× DUTTA, AMARTYA K.× ONODA, NOBUHARU |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Let R be a Noetherian normal domain. Call an R-algebra A “locally A1 in codimension-one" if RP 〓R A is a polynomial ring in one variable over RP for every height-one prime ideal P in R. We shall describe a general structure for any faithfully flat R-algebra A which is locally A1 in codimensionone and deduce results giving sufficient conditions for such an R-algebra to be a locally polynomial algebra. We also give a recipe for constructing R-algebras which are locally A1 in codimension-one. When R is a normal affine spot (i.e., a normal local domain obtained by a localisation of an affine domain), we give criteria for a faithfully flat R-algebra A, which is locally A1 in codimensionone, to be Krull and a further condition for A to be Noetherian. The results are used to construct intricate examples of faithfully flat R-algebras locally A1 in codimension-one which are Noetherian normal but not finitely generated. | |||||
書誌情報 |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 巻 365, 号 9, p. 4497-4537, 発行日 2013-06 |
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出版者 | ||||||
出版者 | American Mathematical Society | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 29947 | |||||
書誌レコードID | ||||||
識別子タイプ | NCID | |||||
関連識別子 | TD00007208 | |||||
DOI | ||||||
関連タイプ | isVersionOf | |||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1090/S0002-9947-2013-05619-X | |||||
著者版フラグ | ||||||
出版タイプ | AO | |||||
出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce |